What is the quadratic equation whose sum and product of roots are 5 and 6 respectively?
A$x^2+5x+6=0$
B$x^2-5x+6=0$
C$x^2-6x+5=0$
D$x^2+6x+5=0$
Answer & Solution
Correct answer: B. $x^2-5x+6=0$
If the sum of roots is $S$ and the product is $P$, the monic quadratic equation is $x^2-Sx+P=0$. Here $S=5$ and $P=6$, so the equation is $x^2-5x+6=0$.
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